1515103920 has 640 divisors, whose sum is σ = 6273884160. Its totient is φ = 334540800.

The previous prime is 1515103907. The next prime is 1515103921. The reversal of 1515103920 is 293015151.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1515103921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48874305 + ... + 48874335.

It is an arithmetic number, because the mean of its divisors is an integer number (9802944).

Almost surely, 2^1515103920 is an apocalyptic number.

1515103920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1515103920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136942080).

1515103920 is an abundant number, since it is smaller than the sum of its proper divisors (4758780240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1515103920 is a wasteful number, since it uses less digits than its factorization.

1515103920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 1515103920 is about 38924.3358324840. The cubic root of 1515103920 is about 1148.5435677295.

The spelling of 1515103920 in words is "one billion, five hundred fifteen million, one hundred three thousand, nine hundred twenty".